Explanation Given: The function is r ( x ) = − 3 x − 1 . Formula Used: The inverse of a function is found by following steps; Step 1: Replace f ( x ) with y . Step 2: Interchange x and y Step 3: Solve for y in terms of x Step 4: Replace y with f − 1 ( x ) Calculation: Since, the function is r ( x ) = − 3 x − 1 . To calculate the inverse of r ( x ) = − 3 x − 1 replacing r ( x ) with y . y = − 3 x − 1 Interchange x and y , x = − 3 y − 1 Solve for y in terms of x , x + 1 = − 3 y y = − ( x + 1 ) 3 Replace the value of y with r − 1 ( x ) , r − 1 ( x ) = − ( x + 1 ) 3 The graph of given functions and its inverse are made by taking values of x and find the values of the functions, respectively. The values are depicted in the tables of the functions Take the function r ( x ) , For x = − 2 ; r ( x ) = − 3 x − 1 = − 3 ( − 2 ) − 1 = 5 For x = 0 ; r ( x ) = − 3 x − 1 = − 3 ( 0 ) − 1 = − 1 For x = 2 ; r ( x ) = − 3 x − 1 = − 3 ( 2 ) − 1 = − 7 The table is, x − 2 <

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ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Chapter 10.4, Problem 35E

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To calculate: The inverse of the function r(x)=−3x−1 then graph the function and its inverse on one coordinate plane.

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Chapter 10.4, Problem 34E

Chapter 10.4, Problem 36E

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Chapter 10 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

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Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. 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The inverse of the function r ( x ) = − 3 x − 1 then graph the function and its inverse on one coordinate plane.

Solution Summary: The author explains how to calculate the inverse of the function r(x)=-3x-1.

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To calculate: The inverse of the function r(x)=−3x−1 then graph the function and its inverse on one coordinate plane.

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Chapter 10 Solutions